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otez555 [7]
3 years ago
6

Find the congruence transformation that maps ∆ABC to ∆A’B’C’. Explain your reasoning

Mathematics
1 answer:
aalyn [17]3 years ago
7 0
To flip any of the points to map up correctly to the other points, you would have to do a reflection over the y-axis. The reasoning for this is because you cannot dilate your shape because it won't map over correctly. A translation will not work, mainly because the shape still needs to flip. A rotation will also not work because when you rotate it, the shape will still not map over your new one. 

-So your answer to this question would be that only a Reflection over the y-axis will allow the two shapes to map over each other correctly.
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144=12x <br> 45 =4x-27 <br> 2x-2=14 <br> 12x=44-10x does any one kno these questions?
Free_Kalibri [48]

Hello russell6333!

\huge \boxed{\mathfrak{Question} \downarrow}

Solve for x.

  1. 144 = 12x
  2. 45 = 4x - 27
  3. 2x - 2 = 14
  4. 12x = 44 - 10x

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

1) \:  \:  \: 144 = 12x \\  \frac{144}{12}  = x \\ \boxed{ \boxed{  \bf12 = x}}

__________________

2) \:  \:  \: 45 = 4x - 27 \\ 45 + 27 = 4x \\ 72 = 4x \\  \frac{72}{4}  = x \\  \boxed{ \boxed { \bf18 = x }}

__________________

3) \:  \:  \: 2x - 2 = 14 \\ 2x = 14 - 2 \\ 2x = 12 \\ x =  \frac{12}{2}  \\ \boxed{  \boxed{ \bf \: x = 6}}

__________________

4) \:  \:  \: 12x = 44 - 10x \\ 12x + 10x = 44 \\ 22x = 44 \\ x =  \frac{44}{22}  \\  \boxed{\boxed{  \bf \: x = 2}}

__________________

<h3><u>NOTE </u><u>:</u><u>-</u></h3>
  • To solve questions of these sorts, bring all the terms to one side & simplify it leaving x alone in the other side of the equation (other side of the equal to sign). After simplification you'll get the value of x.
  • Remember that the signs & operations will change when you bring a term to the other side of the equation.
  • So, addition will become subtraction, subtraction will become addition, multiplication will become division & division will become multiplication.

__________________

Hope it'll help you!

ℓu¢αzz ッ

8 0
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Step-by-step explanation:

I hope this helps, and have a great day! :D

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Y = 30
This is acute triangle so all the sides and angles are the same. Subtract 16 from 46 and you receive 30 for y. For the corresponding angle, subtract 80 from 180. Then add 60 to that and subtract that from 180 for x.
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